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Diffstat (limited to 'OpenSim/Region/PhysicsModules/ConvexDecompositionDotNet/float3.cs')
-rw-r--r-- | OpenSim/Region/PhysicsModules/ConvexDecompositionDotNet/float3.cs | 444 |
1 files changed, 444 insertions, 0 deletions
diff --git a/OpenSim/Region/PhysicsModules/ConvexDecompositionDotNet/float3.cs b/OpenSim/Region/PhysicsModules/ConvexDecompositionDotNet/float3.cs new file mode 100644 index 0000000..fde9b32 --- /dev/null +++ b/OpenSim/Region/PhysicsModules/ConvexDecompositionDotNet/float3.cs | |||
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1 | /* The MIT License | ||
2 | * | ||
3 | * Copyright (c) 2010 Intel Corporation. | ||
4 | * All rights reserved. | ||
5 | * | ||
6 | * Based on the convexdecomposition library from | ||
7 | * <http://codesuppository.googlecode.com> by John W. Ratcliff and Stan Melax. | ||
8 | * | ||
9 | * Permission is hereby granted, free of charge, to any person obtaining a copy | ||
10 | * of this software and associated documentation files (the "Software"), to deal | ||
11 | * in the Software without restriction, including without limitation the rights | ||
12 | * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell | ||
13 | * copies of the Software, and to permit persons to whom the Software is | ||
14 | * furnished to do so, subject to the following conditions: | ||
15 | * | ||
16 | * The above copyright notice and this permission notice shall be included in | ||
17 | * all copies or substantial portions of the Software. | ||
18 | * | ||
19 | * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR | ||
20 | * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, | ||
21 | * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE | ||
22 | * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER | ||
23 | * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, | ||
24 | * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN | ||
25 | * THE SOFTWARE. | ||
26 | */ | ||
27 | |||
28 | using System; | ||
29 | |||
30 | namespace OpenSim.Region.PhysicsModule.ConvexDecompositionDotNet | ||
31 | { | ||
32 | public class float3 : IEquatable<float3> | ||
33 | { | ||
34 | public float x; | ||
35 | public float y; | ||
36 | public float z; | ||
37 | |||
38 | public float3() | ||
39 | { | ||
40 | x = 0; | ||
41 | y = 0; | ||
42 | z = 0; | ||
43 | } | ||
44 | |||
45 | public float3(float _x, float _y, float _z) | ||
46 | { | ||
47 | x = _x; | ||
48 | y = _y; | ||
49 | z = _z; | ||
50 | } | ||
51 | |||
52 | public float3(float3 f) | ||
53 | { | ||
54 | x = f.x; | ||
55 | y = f.y; | ||
56 | z = f.z; | ||
57 | } | ||
58 | |||
59 | public float this[int i] | ||
60 | { | ||
61 | get | ||
62 | { | ||
63 | switch (i) | ||
64 | { | ||
65 | case 0: return x; | ||
66 | case 1: return y; | ||
67 | case 2: return z; | ||
68 | } | ||
69 | throw new ArgumentOutOfRangeException(); | ||
70 | } | ||
71 | } | ||
72 | |||
73 | public float Distance(float3 a) | ||
74 | { | ||
75 | float3 d = new float3(a.x - x, a.y - y, a.z - z); | ||
76 | return d.Length(); | ||
77 | } | ||
78 | |||
79 | public float Distance2(float3 a) | ||
80 | { | ||
81 | float dx = a.x - x; | ||
82 | float dy = a.y - y; | ||
83 | float dz = a.z - z; | ||
84 | return dx * dx + dy * dy + dz * dz; | ||
85 | } | ||
86 | |||
87 | public float Length() | ||
88 | { | ||
89 | return (float)Math.Sqrt(x * x + y * y + z * z); | ||
90 | } | ||
91 | |||
92 | public float Area(float3 p1, float3 p2) | ||
93 | { | ||
94 | float A = Partial(p1); | ||
95 | A += p1.Partial(p2); | ||
96 | A += p2.Partial(this); | ||
97 | return A * 0.5f; | ||
98 | } | ||
99 | |||
100 | public float Partial(float3 p) | ||
101 | { | ||
102 | return (x * p.y) - (p.x * y); | ||
103 | } | ||
104 | |||
105 | // Given a point and a line (defined by two points), compute the closest point | ||
106 | // in the line. (The line is treated as infinitely long.) | ||
107 | public void NearestPointInLine(float3 point, float3 line0, float3 line1) | ||
108 | { | ||
109 | float3 nearestPoint = new float3(); | ||
110 | float3 lineDelta = line1 - line0; | ||
111 | |||
112 | // Handle degenerate lines | ||
113 | if (lineDelta == float3.Zero) | ||
114 | { | ||
115 | nearestPoint = line0; | ||
116 | } | ||
117 | else | ||
118 | { | ||
119 | float delta = float3.dot(point - line0, lineDelta) / float3.dot(lineDelta, lineDelta); | ||
120 | nearestPoint = line0 + lineDelta * delta; | ||
121 | } | ||
122 | |||
123 | this.x = nearestPoint.x; | ||
124 | this.y = nearestPoint.y; | ||
125 | this.z = nearestPoint.z; | ||
126 | } | ||
127 | |||
128 | // Given a point and a line segment (defined by two points), compute the closest point | ||
129 | // in the line. Cap the point at the endpoints of the line segment. | ||
130 | public void NearestPointInLineSegment(float3 point, float3 line0, float3 line1) | ||
131 | { | ||
132 | float3 nearestPoint = new float3(); | ||
133 | float3 lineDelta = line1 - line0; | ||
134 | |||
135 | // Handle degenerate lines | ||
136 | if (lineDelta == Zero) | ||
137 | { | ||
138 | nearestPoint = line0; | ||
139 | } | ||
140 | else | ||
141 | { | ||
142 | float delta = float3.dot(point - line0, lineDelta) / float3.dot(lineDelta, lineDelta); | ||
143 | |||
144 | // Clamp the point to conform to the segment's endpoints | ||
145 | if (delta < 0) | ||
146 | delta = 0; | ||
147 | else if (delta > 1) | ||
148 | delta = 1; | ||
149 | |||
150 | nearestPoint = line0 + lineDelta * delta; | ||
151 | } | ||
152 | |||
153 | this.x = nearestPoint.x; | ||
154 | this.y = nearestPoint.y; | ||
155 | this.z = nearestPoint.z; | ||
156 | } | ||
157 | |||
158 | // Given a point and a triangle (defined by three points), compute the closest point | ||
159 | // in the triangle. Clamp the point so it's confined to the area of the triangle. | ||
160 | public void NearestPointInTriangle(float3 point, float3 triangle0, float3 triangle1, float3 triangle2) | ||
161 | { | ||
162 | float3 nearestPoint = new float3(); | ||
163 | |||
164 | float3 lineDelta0 = triangle1 - triangle0; | ||
165 | float3 lineDelta1 = triangle2 - triangle0; | ||
166 | |||
167 | // Handle degenerate triangles | ||
168 | if ((lineDelta0 == Zero) || (lineDelta1 == Zero)) | ||
169 | { | ||
170 | nearestPoint.NearestPointInLineSegment(point, triangle1, triangle2); | ||
171 | } | ||
172 | else if (lineDelta0 == lineDelta1) | ||
173 | { | ||
174 | nearestPoint.NearestPointInLineSegment(point, triangle0, triangle1); | ||
175 | } | ||
176 | else | ||
177 | { | ||
178 | float3[] axis = new float3[3] { new float3(), new float3(), new float3() }; | ||
179 | axis[0].NearestPointInLine(triangle0, triangle1, triangle2); | ||
180 | axis[1].NearestPointInLine(triangle1, triangle0, triangle2); | ||
181 | axis[2].NearestPointInLine(triangle2, triangle0, triangle1); | ||
182 | |||
183 | float3 axisDot = new float3(); | ||
184 | axisDot.x = dot(triangle0 - axis[0], point - axis[0]); | ||
185 | axisDot.y = dot(triangle1 - axis[1], point - axis[1]); | ||
186 | axisDot.z = dot(triangle2 - axis[2], point - axis[2]); | ||
187 | |||
188 | bool bForce = true; | ||
189 | float bestMagnitude2 = 0; | ||
190 | float closeMagnitude2; | ||
191 | float3 closePoint = new float3(); | ||
192 | |||
193 | if (axisDot.x < 0f) | ||
194 | { | ||
195 | closePoint.NearestPointInLineSegment(point, triangle1, triangle2); | ||
196 | closeMagnitude2 = point.Distance2(closePoint); | ||
197 | if (bForce || (bestMagnitude2 > closeMagnitude2)) | ||
198 | { | ||
199 | bForce = false; | ||
200 | bestMagnitude2 = closeMagnitude2; | ||
201 | nearestPoint = closePoint; | ||
202 | } | ||
203 | } | ||
204 | if (axisDot.y < 0f) | ||
205 | { | ||
206 | closePoint.NearestPointInLineSegment(point, triangle0, triangle2); | ||
207 | closeMagnitude2 = point.Distance2(closePoint); | ||
208 | if (bForce || (bestMagnitude2 > closeMagnitude2)) | ||
209 | { | ||
210 | bForce = false; | ||
211 | bestMagnitude2 = closeMagnitude2; | ||
212 | nearestPoint = closePoint; | ||
213 | } | ||
214 | } | ||
215 | if (axisDot.z < 0f) | ||
216 | { | ||
217 | closePoint.NearestPointInLineSegment(point, triangle0, triangle1); | ||
218 | closeMagnitude2 = point.Distance2(closePoint); | ||
219 | if (bForce || (bestMagnitude2 > closeMagnitude2)) | ||
220 | { | ||
221 | bForce = false; | ||
222 | bestMagnitude2 = closeMagnitude2; | ||
223 | nearestPoint = closePoint; | ||
224 | } | ||
225 | } | ||
226 | |||
227 | // If bForce is true at this point, it means the nearest point lies | ||
228 | // inside the triangle; use the nearest-point-on-a-plane equation | ||
229 | if (bForce) | ||
230 | { | ||
231 | float3 normal; | ||
232 | |||
233 | // Get the normal of the polygon (doesn't have to be a unit vector) | ||
234 | normal = float3.cross(lineDelta0, lineDelta1); | ||
235 | |||
236 | float3 pointDelta = point - triangle0; | ||
237 | float delta = float3.dot(normal, pointDelta) / float3.dot(normal, normal); | ||
238 | |||
239 | nearestPoint = point - normal * delta; | ||
240 | } | ||
241 | } | ||
242 | |||
243 | this.x = nearestPoint.x; | ||
244 | this.y = nearestPoint.y; | ||
245 | this.z = nearestPoint.z; | ||
246 | } | ||
247 | |||
248 | public static float3 operator +(float3 a, float3 b) | ||
249 | { | ||
250 | return new float3(a.x + b.x, a.y + b.y, a.z + b.z); | ||
251 | } | ||
252 | |||
253 | public static float3 operator -(float3 a, float3 b) | ||
254 | { | ||
255 | return new float3(a.x - b.x, a.y - b.y, a.z - b.z); | ||
256 | } | ||
257 | |||
258 | public static float3 operator -(float3 a, float s) | ||
259 | { | ||
260 | return new float3(a.x - s, a.y - s, a.z - s); | ||
261 | } | ||
262 | |||
263 | public static float3 operator -(float3 v) | ||
264 | { | ||
265 | return new float3(-v.x, -v.y, -v.z); | ||
266 | } | ||
267 | |||
268 | public static float3 operator *(float3 v, float s) | ||
269 | { | ||
270 | return new float3(v.x * s, v.y * s, v.z * s); | ||
271 | } | ||
272 | |||
273 | public static float3 operator *(float s, float3 v) | ||
274 | { | ||
275 | return new float3(v.x * s, v.y * s, v.z * s); | ||
276 | } | ||
277 | |||
278 | public static float3 operator *(float3 v, float3x3 m) | ||
279 | { | ||
280 | return new float3((m.x.x * v.x + m.y.x * v.y + m.z.x * v.z), (m.x.y * v.x + m.y.y * v.y + m.z.y * v.z), (m.x.z * v.x + m.y.z * v.y + m.z.z * v.z)); | ||
281 | } | ||
282 | |||
283 | public static float3 operator *(float3x3 m, float3 v) | ||
284 | { | ||
285 | return new float3(dot(m.x, v), dot(m.y, v), dot(m.z, v)); | ||
286 | } | ||
287 | |||
288 | public static float3 operator /(float3 v, float s) | ||
289 | { | ||
290 | float sinv = 1.0f / s; | ||
291 | return new float3(v.x * sinv, v.y * sinv, v.z * sinv); | ||
292 | } | ||
293 | |||
294 | public bool Equals(float3 other) | ||
295 | { | ||
296 | return this == other; | ||
297 | } | ||
298 | |||
299 | public override bool Equals(object obj) | ||
300 | { | ||
301 | float3 f = obj as float3; | ||
302 | if (f == null) | ||
303 | return false; | ||
304 | |||
305 | return this == f; | ||
306 | } | ||
307 | |||
308 | public override int GetHashCode() | ||
309 | { | ||
310 | return x.GetHashCode() ^ y.GetHashCode() ^ z.GetHashCode(); | ||
311 | } | ||
312 | |||
313 | public static bool operator ==(float3 a, float3 b) | ||
314 | { | ||
315 | // If both are null, or both are same instance, return true. | ||
316 | if (System.Object.ReferenceEquals(a, b)) | ||
317 | return true; | ||
318 | // If one is null, but not both, return false. | ||
319 | if (((object)a == null) || ((object)b == null)) | ||
320 | return false; | ||
321 | |||
322 | return (a.x == b.x && a.y == b.y && a.z == b.z); | ||
323 | } | ||
324 | |||
325 | public static bool operator !=(float3 a, float3 b) | ||
326 | { | ||
327 | return (a.x != b.x || a.y != b.y || a.z != b.z); | ||
328 | } | ||
329 | |||
330 | public static float dot(float3 a, float3 b) | ||
331 | { | ||
332 | return a.x * b.x + a.y * b.y + a.z * b.z; | ||
333 | } | ||
334 | |||
335 | public static float3 cmul(float3 v1, float3 v2) | ||
336 | { | ||
337 | return new float3(v1.x * v2.x, v1.y * v2.y, v1.z * v2.z); | ||
338 | } | ||
339 | |||
340 | public static float3 cross(float3 a, float3 b) | ||
341 | { | ||
342 | return new float3(a.y * b.z - a.z * b.y, a.z * b.x - a.x * b.z, a.x * b.y - a.y * b.x); | ||
343 | } | ||
344 | |||
345 | public static float3 Interpolate(float3 v0, float3 v1, float alpha) | ||
346 | { | ||
347 | return v0 * (1 - alpha) + v1 * alpha; | ||
348 | } | ||
349 | |||
350 | public static float3 Round(float3 a, int digits) | ||
351 | { | ||
352 | return new float3((float)Math.Round(a.x, digits), (float)Math.Round(a.y, digits), (float)Math.Round(a.z, digits)); | ||
353 | } | ||
354 | |||
355 | public static float3 VectorMax(float3 a, float3 b) | ||
356 | { | ||
357 | return new float3(Math.Max(a.x, b.x), Math.Max(a.y, b.y), Math.Max(a.z, b.z)); | ||
358 | } | ||
359 | |||
360 | public static float3 VectorMin(float3 a, float3 b) | ||
361 | { | ||
362 | return new float3(Math.Min(a.x, b.x), Math.Min(a.y, b.y), Math.Min(a.z, b.z)); | ||
363 | } | ||
364 | |||
365 | public static float3 vabs(float3 v) | ||
366 | { | ||
367 | return new float3(Math.Abs(v.x), Math.Abs(v.y), Math.Abs(v.z)); | ||
368 | } | ||
369 | |||
370 | public static float magnitude(float3 v) | ||
371 | { | ||
372 | return (float)Math.Sqrt(v.x * v.x + v.y * v.y + v.z * v.z); | ||
373 | } | ||
374 | |||
375 | public static float3 normalize(float3 v) | ||
376 | { | ||
377 | float d = magnitude(v); | ||
378 | if (d == 0) | ||
379 | d = 0.1f; | ||
380 | d = 1 / d; | ||
381 | return new float3(v.x * d, v.y * d, v.z * d); | ||
382 | } | ||
383 | |||
384 | public static float3 safenormalize(float3 v) | ||
385 | { | ||
386 | if (magnitude(v) <= 0.0f) | ||
387 | return new float3(1, 0, 0); | ||
388 | else | ||
389 | return normalize(v); | ||
390 | } | ||
391 | |||
392 | public static float Yaw(float3 v) | ||
393 | { | ||
394 | return (v.y == 0.0 && v.x == 0.0) ? 0.0f : (float)Math.Atan2(-v.x, v.y) * (180.0f / 3.14159264f); | ||
395 | } | ||
396 | |||
397 | public static float Pitch(float3 v) | ||
398 | { | ||
399 | return (float)Math.Atan2(v.z, Math.Sqrt(v.x * v.x + v.y * v.y)) * (180.0f / 3.14159264f); | ||
400 | } | ||
401 | |||
402 | public float ComputePlane(float3 A, float3 B, float3 C) | ||
403 | { | ||
404 | float vx, vy, vz, wx, wy, wz, vw_x, vw_y, vw_z, mag; | ||
405 | |||
406 | vx = (B.x - C.x); | ||
407 | vy = (B.y - C.y); | ||
408 | vz = (B.z - C.z); | ||
409 | |||
410 | wx = (A.x - B.x); | ||
411 | wy = (A.y - B.y); | ||
412 | wz = (A.z - B.z); | ||
413 | |||
414 | vw_x = vy * wz - vz * wy; | ||
415 | vw_y = vz * wx - vx * wz; | ||
416 | vw_z = vx * wy - vy * wx; | ||
417 | |||
418 | mag = (float)Math.Sqrt((vw_x * vw_x) + (vw_y * vw_y) + (vw_z * vw_z)); | ||
419 | |||
420 | if (mag < 0.000001f) | ||
421 | { | ||
422 | mag = 0; | ||
423 | } | ||
424 | else | ||
425 | { | ||
426 | mag = 1.0f / mag; | ||
427 | } | ||
428 | |||
429 | x = vw_x * mag; | ||
430 | y = vw_y * mag; | ||
431 | z = vw_z * mag; | ||
432 | |||
433 | float D = 0.0f - ((x * A.x) + (y * A.y) + (z * A.z)); | ||
434 | return D; | ||
435 | } | ||
436 | |||
437 | public override string ToString() | ||
438 | { | ||
439 | return String.Format("<{0}, {1}, {2}>", x, y, z); | ||
440 | } | ||
441 | |||
442 | public static readonly float3 Zero = new float3(); | ||
443 | } | ||
444 | } | ||